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SUBROUTINE coefkz(nsrf, knon, paprs, pplay, ksta, ksta_ter, ts, rugos, u, v, & |
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t, q, qsurf, pcfm, pcfh) |
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|
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! Auteur(s) F. Hourdin, M. Forichon, Z.X. Li (LMD/CNRS) date: 1993/09/22 |
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! (une version strictement identique a l'ancien modele) |
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! Objet: calculer le coefficient du frottement du sol (Cdrag) et les |
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! coefficients d'echange turbulent dans l'atmosphere. |
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|
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USE indicesol, ONLY : is_oce |
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USE dimphy, ONLY : klev, klon, max |
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USE iniprint, ONLY : prt_level |
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USE suphec_m, ONLY : rcpd, rd, retv, rg, rkappa, rlstt, rlvtt, rtt |
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USE yoethf_m, ONLY : r2es, r5ies, r5les, rvtmp2 |
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USE fcttre, ONLY : dqsatl, dqsats, foede, foeew, qsatl, qsats, thermcep |
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USE conf_phys_m, ONLY : iflag_pbl |
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|
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IMPLICIT none |
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|
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! Arguments: |
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! nsrf-----input-I- indicateur de la nature du sol |
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! knon-----input-I- nombre de points a traiter |
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! paprs----input-R- pression a chaque intercouche (en Pa) |
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! pplay----input-R- pression au milieu de chaque couche (en Pa) |
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! ts-------input-R- temperature du sol (en Kelvin) |
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! rugos----input-R- longeur de rugosite (en m) |
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! u--------input-R- vitesse u |
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! v--------input-R- vitesse v |
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! q--------input-R- vapeur d'eau (kg/kg) |
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|
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! itop-----output-I- numero de couche du sommet de la couche limite |
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! pcfm-----output-R- coefficients a calculer (vitesse) |
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! pcfh-----output-R- coefficients a calculer (chaleur et humidite) |
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|
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INTEGER knon, nsrf |
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REAL ts(klon) |
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REAL paprs(klon, klev+1), pplay(klon, klev) |
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REAL u(klon, klev), v(klon, klev), q(klon, klev) |
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REAL, intent(in):: t(klon, klev) ! temperature (K) |
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REAL rugos(klon) |
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|
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REAL pcfm(klon, klev), pcfh(klon, klev) |
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INTEGER itop(klon) |
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|
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! Quelques constantes et options: |
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|
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REAL cepdu2, ckap, cb, cc, cd, clam |
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PARAMETER (cepdu2 =(0.1)**2) |
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PARAMETER (CKAP=0.4) |
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PARAMETER (cb=5.0) |
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PARAMETER (cc=5.0) |
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PARAMETER (cd=5.0) |
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PARAMETER (clam=160.0) |
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REAL ratqs ! largeur de distribution de vapeur d'eau |
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PARAMETER (ratqs=0.05) |
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LOGICAL richum ! utilise le nombre de Richardson humide |
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PARAMETER (richum=.TRUE.) |
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REAL ric ! nombre de Richardson critique |
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PARAMETER(ric=0.4) |
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REAL prandtl |
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PARAMETER (prandtl=0.4) |
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REAL kstable ! diffusion minimale (situation stable) |
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! GKtest |
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! PARAMETER (kstable=1.0e-10) |
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REAL ksta, ksta_ter |
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!IM: 261103 REAL kstable_ter, kstable_sinon |
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!IM: 211003 cf GK PARAMETER (kstable_ter = 1.0e-6) |
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!IM: 261103 PARAMETER (kstable_ter = 1.0e-8) |
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!IM: 261103 PARAMETER (kstable_ter = 1.0e-10) |
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!IM: 261103 PARAMETER (kstable_sinon = 1.0e-10) |
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! fin GKtest |
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REAL mixlen ! constante controlant longueur de melange |
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PARAMETER (mixlen=35.0) |
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INTEGER isommet ! le sommet de la couche limite |
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PARAMETER (isommet=klev) |
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LOGICAL tvirtu ! calculer Ri d'une maniere plus performante |
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PARAMETER (tvirtu=.TRUE.) |
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LOGICAL opt_ec ! formule du Centre Europeen dans l'atmosphere |
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PARAMETER (opt_ec=.FALSE.) |
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|
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! Variables locales: |
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|
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INTEGER i, k, kk !IM 120704 |
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REAL zgeop(klon, klev) |
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REAL zmgeom(klon) |
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REAL zri(klon) |
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REAL zl2(klon) |
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|
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REAL u1(klon), v1(klon), t1(klon), q1(klon), z1(klon) |
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REAL pcfm1(klon), pcfh1(klon) |
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|
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REAL zdphi, zdu2, ztvd, ztvu, zcdn |
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REAL zscf |
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REAL zt, zq, zdelta, zcvm5, zcor, zqs, zfr, zdqs |
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REAL z2geomf, zalh2, zalm2, zscfh, zscfm |
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REAL t_coup |
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PARAMETER (t_coup=273.15) |
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!IM |
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LOGICAL check |
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PARAMETER (check=.false.) |
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|
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! contre-gradient pour la chaleur sensible: Kelvin/metre |
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REAL gamt(2:klev) |
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real qsurf(klon) |
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|
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LOGICAL appel1er |
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SAVE appel1er |
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|
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! Fonctions thermodynamiques et fonctions d'instabilite |
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REAL fsta, fins, x |
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LOGICAL zxli ! utiliser un jeu de fonctions simples |
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PARAMETER (zxli=.FALSE.) |
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|
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fsta(x) = 1.0 / (1.0+10.0*x*(1+8.0*x)) |
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fins(x) = SQRT(1.0-18.0*x) |
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|
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DATA appel1er /.TRUE./ |
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|
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!-------------------------------------------------------------------- |
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|
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IF (appel1er) THEN |
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if (prt_level > 9) THEN |
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print *, 'coefkz, opt_ec:', opt_ec |
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print *, 'coefkz, richum:', richum |
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IF (richum) print *, 'coefkz, ratqs:', ratqs |
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print *, 'coefkz, isommet:', isommet |
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print *, 'coefkz, tvirtu:', tvirtu |
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appel1er = .FALSE. |
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endif |
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ENDIF |
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|
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! Initialiser les sorties |
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|
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DO k = 1, klev |
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DO i = 1, knon |
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pcfm(i, k) = 0.0 |
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pcfh(i, k) = 0.0 |
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ENDDO |
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ENDDO |
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DO i = 1, knon |
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itop(i) = 0 |
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ENDDO |
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|
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! Prescrire la valeur de contre-gradient |
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|
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if (iflag_pbl.eq.1) then |
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DO k = 3, klev |
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gamt(k) = -1.0E-03 |
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ENDDO |
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gamt(2) = -2.5E-03 |
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else |
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DO k = 2, klev |
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gamt(k) = 0.0 |
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ENDDO |
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ENDIF |
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|
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IF ( nsrf .NE. is_oce ) THEN |
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kstable = ksta_ter |
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ELSE |
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kstable = ksta |
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ENDIF |
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|
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! Calculer les géopotentiels de chaque couche |
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|
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DO i = 1, knon |
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zgeop(i, 1) = RD * t(i, 1) / (0.5 * (paprs(i, 1) + pplay(i, 1))) & |
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* (paprs(i, 1) - pplay(i, 1)) |
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ENDDO |
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DO k = 2, klev |
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DO i = 1, knon |
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zgeop(i, k) = zgeop(i, k-1) & |
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+ RD * 0.5*(t(i, k-1)+t(i, k)) / paprs(i, k) & |
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* (pplay(i, k-1)-pplay(i, k)) |
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ENDDO |
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ENDDO |
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|
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! Calculer le frottement au sol (Cdrag) |
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|
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DO i = 1, knon |
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u1(i) = u(i, 1) |
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v1(i) = v(i, 1) |
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t1(i) = t(i, 1) |
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q1(i) = q(i, 1) |
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z1(i) = zgeop(i, 1) |
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ENDDO |
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|
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CALL clcdrag(klon, knon, nsrf, zxli, u1, v1, t1, q1, z1, ts, qsurf, rugos, & |
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pcfm1, pcfh1) |
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|
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DO i = 1, knon |
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pcfm(i, 1)=pcfm1(i) |
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pcfh(i, 1)=pcfh1(i) |
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ENDDO |
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|
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! Calculer les coefficients turbulents dans l'atmosphere |
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|
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DO i = 1, knon |
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itop(i) = isommet |
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ENDDO |
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|
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DO k = 2, isommet |
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DO i = 1, knon |
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zdu2=MAX(cepdu2, (u(i, k)-u(i, k-1))**2 & |
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+(v(i, k)-v(i, k-1))**2) |
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zmgeom(i)=zgeop(i, k)-zgeop(i, k-1) |
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zdphi =zmgeom(i) / 2.0 |
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zt = (t(i, k)+t(i, k-1)) * 0.5 |
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zq = (q(i, k)+q(i, k-1)) * 0.5 |
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|
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! calculer Qs et dQs/dT: |
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|
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IF (thermcep) THEN |
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zdelta = MAX(0., SIGN(1., RTT-zt)) |
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zcvm5 = R5LES*RLVTT/RCPD/(1.0+RVTMP2*zq)*(1.-zdelta) & |
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+ R5IES*RLSTT/RCPD/(1.0+RVTMP2*zq)*zdelta |
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zqs = R2ES * FOEEW(zt, zdelta) / pplay(i, k) |
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zqs = MIN(0.5, zqs) |
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zcor = 1./(1.-RETV*zqs) |
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zqs = zqs*zcor |
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zdqs = FOEDE(zt, zdelta, zcvm5, zqs, zcor) |
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ELSE |
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IF (zt .LT. t_coup) THEN |
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zqs = qsats(zt) / pplay(i, k) |
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zdqs = dqsats(zt, zqs) |
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ELSE |
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zqs = qsatl(zt) / pplay(i, k) |
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zdqs = dqsatl(zt, zqs) |
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ENDIF |
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ENDIF |
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|
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! calculer la fraction nuageuse (processus humide): |
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|
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zfr = (zq+ratqs*zq-zqs) / (2.0*ratqs*zq) |
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zfr = MAX(0.0, MIN(1.0, zfr)) |
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IF (.NOT.richum) zfr = 0.0 |
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|
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! calculer le nombre de Richardson: |
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|
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IF (tvirtu) THEN |
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ztvd =( t(i, k) & |
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+ zdphi/RCPD/(1.+RVTMP2*zq) & |
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*( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) & |
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)*(1.+RETV*q(i, k)) |
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ztvu =( t(i, k-1) & |
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- zdphi/RCPD/(1.+RVTMP2*zq) & |
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*( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) & |
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)*(1.+RETV*q(i, k-1)) |
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zri(i) =zmgeom(i)*(ztvd-ztvu)/(zdu2*0.5*(ztvd+ztvu)) |
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zri(i) = zri(i) & |
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+ zmgeom(i)*zmgeom(i)/RG*gamt(k) & |
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*(paprs(i, k)/101325.0)**RKAPPA & |
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/(zdu2*0.5*(ztvd+ztvu)) |
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|
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ELSE ! calcul de Ridchardson compatible LMD5 |
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|
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zri(i) =(RCPD*(t(i, k)-t(i, k-1)) & |
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-RD*0.5*(t(i, k)+t(i, k-1))/paprs(i, k) & |
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*(pplay(i, k)-pplay(i, k-1)) & |
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)*zmgeom(i)/(zdu2*0.5*RCPD*(t(i, k-1)+t(i, k))) |
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zri(i) = zri(i) + & |
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zmgeom(i)*zmgeom(i)*gamt(k)/RG & |
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*(paprs(i, k)/101325.0)**RKAPPA & |
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/(zdu2*0.5*(t(i, k-1)+t(i, k))) |
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ENDIF |
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|
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! finalement, les coefficients d'echange sont obtenus: |
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|
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zcdn=SQRT(zdu2) / zmgeom(i) * RG |
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|
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IF (opt_ec) THEN |
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z2geomf=zgeop(i, k-1)+zgeop(i, k) |
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zalm2=(0.5*ckap/RG*z2geomf & |
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/(1.+0.5*ckap/rg/clam*z2geomf))**2 |
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zalh2=(0.5*ckap/rg*z2geomf & |
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/(1.+0.5*ckap/RG/(clam*SQRT(1.5*cd))*z2geomf))**2 |
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IF (zri(i).LT.0.0) THEN ! situation instable |
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zscf = ((zgeop(i, k)/zgeop(i, k-1))**(1./3.)-1.)**3 & |
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/ (zmgeom(i)/RG)**3 / (zgeop(i, k-1)/RG) |
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zscf = SQRT(-zri(i)*zscf) |
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zscfm = 1.0 / (1.0+3.0*cb*cc*zalm2*zscf) |
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zscfh = 1.0 / (1.0+3.0*cb*cc*zalh2*zscf) |
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pcfm(i, k)=zcdn*zalm2*(1.-2.0*cb*zri(i)*zscfm) |
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pcfh(i, k)=zcdn*zalh2*(1.-3.0*cb*zri(i)*zscfh) |
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ELSE ! situation stable |
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zscf=SQRT(1.+cd*zri(i)) |
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pcfm(i, k)=zcdn*zalm2/(1.+2.0*cb*zri(i)/zscf) |
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pcfh(i, k)=zcdn*zalh2/(1.+3.0*cb*zri(i)*zscf) |
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ENDIF |
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ELSE |
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zl2(i)=(mixlen*MAX(0.0, (paprs(i, k)-paprs(i, itop(i)+1)) & |
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/(paprs(i, 2)-paprs(i, itop(i)+1)) ))**2 |
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pcfm(i, k)=sqrt(max(zcdn*zcdn*(ric-zri(i))/ric, kstable)) |
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pcfm(i, k)= zl2(i)* pcfm(i, k) |
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pcfh(i, k) = pcfm(i, k) /prandtl ! h et m different |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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! Au-dela du sommet, pas de diffusion turbulente: |
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|
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DO i = 1, knon |
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IF (itop(i)+1 .LE. klev) THEN |
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DO k = itop(i)+1, klev |
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pcfh(i, k) = 0.0 |
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pcfm(i, k) = 0.0 |
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ENDDO |
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ENDIF |
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ENDDO |
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|
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END SUBROUTINE coefkz |
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